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Spectral homotopy analysis method for solving nonlinear Volterra integro differential equations

Atabakan, Zohreh Pashazadeh and Nasab, Aliasghar Kazemi and Kilicman, Adem (2014) Spectral homotopy analysis method for solving nonlinear Volterra integro differential equations. Malaysian Journal of Mathematical Sciences, 8 (S). pp. 153-161. ISSN 1823-8343; ESSN: 2289-750X

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Official URL: http://einspem.upm.edu.my/journal/fullpaper/vol8so...

Abstract

In this paper we proposed Spectral Homotopy analysis method to solve nonlinear Volterra integro-differential equations. Some examples are given to approve the efficiency and the accuracy of the proposed method. The SHAM results show that the proposed approach is quite reasonable when compared to homotopy analysis method and exact analytical solutions.

Item Type:Article
Keyword:Homotopy analysis method; Spectral homotopy analysis method; Clenshaw-Curtis quadrature formula; Volterra integro-differential equations
Faculty or Institute:Faculty of Science
Institute for Mathematical Research
Publisher:Institute for Mathematical Research, Universiti Putra Malaysia
ID Code:39085
Deposited By: Nabilah Mustapa
Deposited On:04 Sep 2015 19:16
Last Modified:04 Sep 2015 19:16

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